If the graph of the following parabola is shifted four units right and three units down, what is the resulting equation in vertex form? x=4y^2

Question

asked Sep 7, 2020 187k views

2 Answers

Jaswinder Kaur · Answer 1 · 2020-09-13T12:37:14+0000

ANSWER

The resulting parabola in vertex form is:

$(x - 4) = 4( {y + 3)}^(2)$

EXPLANATION

The original equation of the parabola is given as

$x = 4 {y}^(2)$

This parabola has its vertex at the origin.

If the graph of this parabola is shifted four units right and three units down, then the new equation is:

$(x - 4) = 4( {y + 3)}^(2)$

This the equation of the transformed parabola.

Its vertex is now at (4,-3).